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Finding the Third Proportional to 515,392 and 819,936

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Solution

The third proportional to 515,392 and 819,936 is: 1,304,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,392 : 819,936 = 819,936 : x
  2. Step 2: Convert to fraction form
    515,392/819,936 = 819,936/x
  3. Step 3: Cross multiply
    515,392x = 819,936 × 819,936
  4. Step 4: Simplify right side
    515,392x = 672,295,044,096
  5. Step 5: Solve for x
    x = 672,295,044,096/515,392
  6. Step 6: Final answer
    x = 1,304,434.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.